scholarly journals Fusion cross-sections for deuterium cycle fusion reactors (D-cycle): an analysis of geometric, Gamow-Sommerfeld and astrophysical S-factors

2020 ◽  
Author(s):  
Miguel Ramos-Pascual
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Fusion Reaction ◽  
Fusion Cross Section ◽  
Potential Scattering ◽  
Partial Width ◽  
Light Nuclei ◽  
Fusion Reactions ◽  
Reaction Heat ◽  
Relative Differences

Fusion reactions in the deuterium cycle (D+D, D+T and D+3He) are the main nucleus-nucleus interactions which occur in tokamaks and stellerators. These reactions are the limiting case between the Woods-Saxon potential field at nuclear distances and the Coulomb electrostatic potential (scattering) at longer distances. In this paper several fusion cross-sections, geometric, Gamow-Sommerfeld and astrophysical S-factors have been reviewed and compared with experimental data from the last ENDF/B-VIII.0 cross-section library. The XDC-fusion code has been developed to calculate fusion cross-sections, geometric, Gamow-Sommerfeld and S-factors of the deuterium-cycle (D-cycle), including resonance parameters (energy and partial width). The software estimates also fusion reaction heat (Q) and Woods-Saxon/Coulomb proximity potentials. Although relative differences between fusion cross-sections are lower than 5 %, S-factors present considerable differences between the energies and partial width (FWHM) of the single-level Breit-Wigner (SLBW) resonances. The energy at which is placed the maximum fusion cross-section is also different between cases. In conclusion, fusion reaction models for light nuclei (deuterium, tritium and helium) should be reviewed in order to apply fusion to energy production in safety conditions.

scholarly journals Numerical Analysis of Fusion Cross Section of (_^16)O+(_^16)O by Using The Modified Glas-Mosel Formula

2019 ◽  
Vol 8 (2) ◽  
pp. 81
Author(s):  
Yacobus Yulianto ◽  
Zaki Su'ud
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Nuclear Reactions ◽  
Fusion Reaction ◽  
Fusion Cross Section ◽  
Reaction Cross ◽  
Experimental Results ◽  
Light Nuclei ◽  
Study Results ◽  
Numerical Process

<p class="paragrafabstract">One of the interesting topics in nuclear reactions is a study about reaction cross section between the interacting nuclei. For calculating fusion cross section, the Glas-Mosel formula has been proven successfully in explaining the experimental results of fusion cross section. In this study, the fusion cross sections of O16+O16 reaction were calculated by using modified Glas-Mosel formula. The energies were set at 10≤𝐸≤40 MeV. The potential of interacting nuclei was approached by using Woods-Saxon potential. In numerical process, the differential equations were solved by using finite different method and optimization process was performed by using Nelder-Mead method. Good agreement between the experimental and this study results has been achieved successfully. Referring those results above, it can be indicated that the modified Glas-Mosel formula has good capability to explain the experimental results of fusion reaction of light nuclei. It can be a useful tool in explaining the experimental results or in predicting fusion cross section of light nuclei.</p>

scholarly journals Numerical Study of Fusion Cross Sections for 12C+12C and 16O+16O Reactions by Using Wong Formula

2018 ◽  
Vol 15 (2) ◽  
pp. 105
Author(s):  
Yacobus Yulianto ◽  
Zaki Zu'ud
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Nuclear Reactions ◽  
Numerical Study ◽  
Fusion Cross Section ◽  
Experimental Results ◽  
Light Nuclei ◽  
Saxon Potential ◽  
Calculation Results ◽  
Good Agreement

The height of the barrier between the interacting nuclei is one of the interesting topics in nuclear reaction, especially in charged-particle nuclear reactions. Wong formula is one method that can be used to perform such study, especially about fusion cross section. Therefore, a study about fusion cross sections of some light nuclei with Wong formula becomes very interesting to be performed. In this study, the fusion cross sections of 12C+12C and 16O+16O reactions have been calculated by using Wong formula at 12<=E<=32 MeV of energies. The potential of the interacting nuclei was approached by using Woods-Saxon potential. The calculations performed numerically by using both finite different and Nelder-Mead methods. The obtained results of this study have achieved a good agreement with the experimental results and the calculation results of the other researchers. Those results were indicated that Wong formula has good capability in explaining the experimental results concerning fusion cross section of light nuclei.

Fusion and Breakup Reactions of 17S + 208Pb and 15C + 232ThHalo Nuclei Systems

2015 ◽  
Vol 11 (2) ◽  
pp. 2972-2978
Author(s):  
Fouad A. Majeed ◽  
Yousif A. Abdul-Hussien
Keyword(s):  
Experimental Data ◽  
Cross Section ◽  
Fusion Reaction ◽  
Fusion Cross Section ◽  
Reaction Cross ◽  
Recent Experimental Data ◽  
Barrier Distribution ◽  
Coupled Channel ◽  
Total Fusion ◽  
Full Quantum

In this study the calculations of the total fusion reaction cross section have been performed for fusion reaction systems 17F + 208Pb and 15C + 232Th which involving halo nuclei by using a semiclassical approach.The semiclassical treatment is comprising the WKB approximation to describe the relative motion between target and projectile nuclei, and Continuum Discretized Coupled Channel (CDCC) method to describe the intrinsic motion for both target and projectile nuclei. For the same of comparsion a full quantum mechanical clacualtions have been preforemd using the (CCFULL) code. Our theorticalrestuls are compared with the full quantum mechaincialcalcuations and with the recent experimental data for the total fusion reaction  checking the stability of the distancesThe coupled channel calculations of the total fusion cross section σfus, and the fusion barrier distribution Dfus. The comparsion with experiment proves that the semiclassiacl approach adopted in the present work reproduce the experimental data better that the full quantal mechanical calcautions. 

scholarly journals Fusion cross-sections for inertial fusion energy

2004 ◽  
Vol 22 (4) ◽  
pp. 469-477 ◽  
Author(s):  
XING ZHONG LI ◽  
BIN LIU ◽  
SI CHEN ◽  
QING MING WEI ◽  
HEINRICH HORA
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Light Nucleus ◽  
Resonant Tunneling ◽  
Fusion Energy ◽  
Inertial Fusion ◽  
Inertial Fusion Energy ◽  
Fusion Reactions ◽  
Tunneling Model ◽  
New Formula

The application of selective resonant tunneling model is extended from d + t fusion to other light nucleus fusion reactions, such as d + d fusion and d + 3He. In contrast to traditional formulas, the new formula for the cross-section needs only a few parameters to fit the experimental data in the energy range of interest. The features of the astrophysical S-function are derived in terms of this model. The physics of resonant tunneling is discussed.

COLD FUSION REACTIONS USING NEUTRON-RICH PROJECTILES

2013 ◽  
Vol 22 (08) ◽  
pp. 1350061 ◽  
Author(s):  
A. SULAKSONO
Keyword(s):  
Cross Section ◽  
Compound Nucleus ◽  
Cross Sections ◽  
Estimation Method ◽  
Cold Fusion ◽  
Evaporation Residue ◽  
Fusion Reactions ◽  
Fusion Barrier ◽  
The Cross ◽  
Evaporation Residues

This paper studies the formation cross-sections of super heavy (SH) nuclei in some cold fusion reactions of radioactive neutron-rich projectiles with double-magic 208 Pb target. In this study, the cross-sections of capture, fusion and evaporation residues in one- and two-neutron (1n and 2n) channels are calculated by using neutron-rich Fe , Ni and Zn projectiles are compared to the cross-sections calculated using stable Fe , Ni and Zn projectiles. The heights of fusion barrier and their positions in all reactions considered in this study are also compared to the heights and positions calculated using the estimation method proposed by Dutt and Puri. For cold fusion reactions with stable Fe , Ni and Zn projectiles, the heights of fusion barrier and the cross-sections of evaporation residues in 1n and 2n channels are compared to their corresponding experimental data. In general, for reactions using projectiles with the same proton number, the neutron-rich projectile is found to yield relatively-heavier mass of SH nucleus and larger evaporation residue cross-section, compared to those of the corresponding stable projectiles. However, in certain reactions, the cross-sections of neutron-rich projectile can be slightly larger or slightly smaller than that of the corresponding stable projectile. This behavior is highly affected by the charge of projectile and the fission barrier of the formed compound nucleus (CN). In addition, the 292114 is found to be the heaviest compound nucleus formed in cold fusion reaction by using neutron-rich nuclei as the projectile, but the cross-section of evaporation residue in one-neutron channel is still around few pico barns (pb).

CALCULATIONS OF CROSS SECTIONS FOR THE SYNTHESIS OF SUPER-HEAVY NUCLEI IN COLD FUSION REACTIONS

2004 ◽  
Vol 13 (01) ◽  
pp. 261-267 ◽  
Author(s):  
W. J. ŚWIATECKI ◽  
K. SIWEK-WILCZYŃSKA ◽  
J. WILCZYŃSKI
Keyword(s):  
Cross Section ◽  
Compound Nucleus ◽  
Cross Sections ◽  
Free Parameter ◽  
Cold Fusion ◽  
One Dimension ◽  
Brownian Diffusion ◽  
Heavy Nuclei ◽  
Fusion Reactions ◽  
Super Heavy Nuclei

The fusion cross sections are considered to be given by the product of three factors: the cross section to overcome the Coulomb barrier, the probability for the resulting system to reach the compound nucleus configuration by diffusion, and the probability for the compound nucleus to survive fission. The first and third factors are treated by more or less conventional equations, and the second by Brownian diffusion in one dimension. Adjusting one free parameter in the theory one can reproduce the twelve measured cross sections to within a factor of two.

Investigations on 54–60Fe + 238–244Pu → 296–302120 fusion reactions

2020 ◽  
pp. 1-8
Author(s):  
H.C. Manjunatha ◽  
L. Seenappa ◽  
N. Sowmya ◽  
K.N. Sridhar
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Survival Probability ◽  
Superheavy Element ◽  
Evaporation Residue ◽  
Superheavy Nuclei ◽  
Fusion Reactions ◽  
Compound Nucleus Formation ◽  
Evaporation Residue Cross Section ◽  
Target Combination

We have studied the 54–60Fe-induced fusion reactions to synthesize the superheavy nuclei296–302120 by studying the compound nucleus formation probability, survival probability, and evaporation residue cross-sections. The comparison of the evaporation residue cross-section for different targets reveals that the evaporation residue cross-section is larger for projectile target combination 58Fe+243Pu→301120. We have identified the most probable 58Fe-induced fusion reactions to synthesize superheavy nuclei 296–302120. The suggested reactions may be useful to synthesize the superheavy element Z = 120.

Scattering and fusion phenomena of 6Li +209Bi system

2020 ◽  
Vol 29 (03) ◽  
pp. 2050016
Author(s):  
R. R. Swain ◽  
C. Dash ◽  
P. Mohanty ◽  
B. B. Sahu
Keyword(s):  
Elastic Scattering ◽  
Partial Wave ◽  
Cross Section ◽  
Cross Sections ◽  
Center Of Mass ◽  
Fusion Cross Section ◽  
Oscillatory Behavior ◽  
Energy Formula ◽  
Cross Section Formula ◽  
Scattering Cross Sections

In nucleus–nucleus collisions, the partial-wave scattering matrix, for the total effective complex potential is calculated, which explains the data of angular distribution of elastic scattering cross-sections. Furthermore the absorption cross-section is obtained from the arbitrarily small intervals which helps to derive the fusion cross-section ([Formula: see text]) data at different center-of-mass energies ([Formula: see text]) by collecting the absorption contributions in the interior region of the effective potential. Here, the potential is taken as energy independent and its weakly absorbing nature supports the resonance states in various partial-wave trajectories. Therefore, the resonances show oscillatory behavior changes with respect to energy [Formula: see text], which is the second derivative of the product [Formula: see text] with respect to [Formula: see text]. In this paper, we have successfully discussed the elastic scattering and fusion cross-sections simultaneously with the results of [Formula: see text].

Sign in / Sign up

Export Citation Format

Share Document